For a series LCR circuit,which one of the fol | vedclass

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(A) In a series $LCR$ circuit,the current $I$ is the same through all components.$1$. The potential difference across the resistor $(V_R)$ is in phase

Vedclass · Accepted Answer

Potential difference across $R$ and that across the capacitor have a phase difference of $\frac{\pi}{2}$.

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(A) In a series $LCR$ circuit,the current $I$ is the same through all components.$1$. The potential difference across the resistor $(V_R)$ is in phase with the current $I$.$2$. The potential difference across the capacitor $(V_C)$ lags behind the current $I$ by $\frac{\pi}{2}$.$3$. The potential difference across the inductor $(V_L)$ leads the current $I$ by $\frac{\pi}{2}$.Evaluating the options:$(A)$ The potential difference across $R$ $(V_R)$ is in phase with $I$,and the potential difference across the capacitor $(V_C)$ lags behind $I$ by $\frac{\pi}{2}$. Therefore,the phase difference between $V_R$ and $V_C$ is $\frac{\pi}{2}$. This is $CORRECT$.$(B)$ The applied e.m.f. $(V)$ leads or lags the current $I$ by a phase angle $\phi$,while $V_R$ is in phase with $I$. Thus,$V$ and $V_R$ are not in the same phase. This is $INCORRECT$.$(C)$ The phase difference between the applied e.m.f. $(V)$ and $V_L$ is $(\frac{\pi}{2} - \phi)$. This is $INCORRECT$.$(D)$ $V_L$ leads $I$ by $\frac{\pi}{2}$ and $V_C$ lags $I$ by $\frac{\pi}{2}$. Thus,the phase difference between $V_L$ and $V_C$ is $\pi$. This is $INCORRECT$.

For a series $LCR$ circuit,which one of the following is a $CORRECT$ statement?

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